Gem
Yup, well put. Great post. (I sometimes have to agree with F3G)
I've met some folk who can do both.
The best was a guy called Paul, who is now CEO & Chair of a large private Company. Even the family like him! (Private - so it is never in the papers). Inspiring, great at growing people/teams, Global in outlook, has lived and worked outside UK/Europe, fierce on costs, and a model of clarity with respect to under performing managers. Good staff love him. Bad staff leave.
I would use his full name, but the post would be deleted.
PS - on the "managing people out" question, a friend of mine came up with "Creative external redeployment"